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Chaotic solutions in differential inclusions: chaos in dry friction problems
Author(s):
Michal
Feckan
Journal:
Trans. Amer. Math. Soc.
351
(1999),
2861-2873.
MSC (1991):
Primary 34A60, 58F13, 58F30
Posted:
March 1, 1999
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Abstract:
The existence of a continuum of many chaotic solutions is shown for certain differential inclusions which are small periodic multivalued perturbations of ordinary differential equations possessing homoclinic solutions to hyperbolic fixed points. Applications are given to dry friction problems. Singularly perturbed differential inclusions are investigated as well.
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Additional Information:
Michal
Feckan
Affiliation:
Department of Mathematical Analysis, Comenius University, Mlynská dolina, 842 15 Bratislava, Slovakia
Email:
Michal.Feckan@fmph.uniba.sk
DOI:
10.1090/S0002-9947-99-02181-9
PII:
S 0002-9947(99)02181-9
Keywords:
Multivalued mappings,
differential inclusions,
chaotic solutions
Received by editor(s):
June 4, 1996
Received by editor(s) in revised form:
March 20, 1997
Posted:
March 1, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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